摘要
利用Leray Schauder原理,在对f无任何增长性限制的情形下,讨论了带导数项的一端固定一端滑动的静态梁方程y(4)(x)=f(x,y,y′,y″,y ),y(0)=y′(0)=y′(1)=y (1)=0解的存在性,并在Lipschitz条件下,研究了其解的唯一性.
By using Leray-Schauder continuation theorem, the authors show the existence of solutions for a class of fourth-order two-point boundary value problems with derivative arguments y^((4))=f(x,y,y′,y″,y),x∈[0,1], y(0)=y′(0)=y′(1)=y(1)=0, without any growth restriction on f. A sufficient condition of uniqueness of solution of this problems is also presented.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第6期1032-1036,共5页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金(10271095)
